Math  /  Algebra

QuestionFind the maximum value of y=x1/xy = x^{1/x} for x>0x > 0.

Studdy Solution
Substitute x=ex = e into the original function to find the maximum valueymax=e/ey_{max} = e^{/e}The maximum value of y=x/xy = x^{/x} for x>0x >0 is e/ee^{/e}.

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